{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "view-in-github"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/bingblackbean/supply_chain_site_selection/blob/main/Center_of_Gravity_for_Multi_site_selection.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 105,
      "metadata": {
        "id": "lIwhK6HXoDBG"
      },
      "outputs": [],
      "source": [
        "file = '/content/drive/MyDrive/02_data_analysis/data_set/china_cities.csv'\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 106,
      "metadata": {
        "id": "nE4tysjJoM1O"
      },
      "outputs": [],
      "source": [
        "import pandas as pd\n",
        "random_seed = 2021\n",
        "all_cities_df = pd.read_csv(file,encoding='gb18030')\n",
        "customer_df = all_cities_df.sample(n=1000,random_state=random_seed)\n",
        "customer_df.columns = ['id','name','lon','lat']"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 107,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "NqwJGi_toTnZ",
        "outputId": "e7d2111e-fea2-4c9b-8ca0-e822d81fee17"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "          id       name         lon        lat  vol\n",
            "2089  320585     江苏省太仓市  121.158978  31.571904   10\n",
            "2129  320982     江苏省大丰市  120.546274  33.190868   20\n",
            "3249  542225      西藏琼结县   91.613770  29.011722   20\n",
            "805   510500     四川省泸州市  105.443970  28.895930   60\n",
            "575   450221      广西柳江县  109.274221  24.209539   30\n",
            "...      ...        ...         ...        ...  ...\n",
            "2632  361128     江西省鄱阳县  116.787693  29.243056   30\n",
            "1306  140221     山西省阳高县  113.823181  40.222312   30\n",
            "815   510601  四川省德阳市市辖区  104.402398  31.131140   70\n",
            "1496  150727  内蒙古新巴尔虎右旗  114.415868  43.468238   30\n",
            "2410  341825     安徽省旌德县  118.482898  30.321833   80\n",
            "\n",
            "[1000 rows x 5 columns]\n"
          ]
        }
      ],
      "source": [
        "from random import randint, seed,gauss,choice\n",
        "N = customer_df.shape[0]\n",
        "seed(2)\n",
        "customer_df['vol'] = [choice([10*(1+i) for i in range(10)]) for _ in range(N)]\n",
        "\n",
        "print(customer_df)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 108,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "l6dWmKxLoi1A",
        "outputId": "eb5cf4c6-d7ce-4cea-bd87-823da9713e39"
      },
      "outputs": [
        {
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\"hoverlabel\": {\"align\": \"left\"}, \"hovermode\": \"closest\", \"mapbox\": {\"style\": \"light\"}, \"paper_bgcolor\": \"white\", \"plot_bgcolor\": \"#E5ECF6\", \"polar\": {\"angularaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"radialaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"scene\": {\"xaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"yaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"zaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}}, \"shapedefaults\": {\"line\": {\"color\": \"#2a3f5f\"}}, \"ternary\": {\"aaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"baxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"caxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"title\": {\"x\": 0.05}, \"xaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}, \"yaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}}}, \"title\": {\"text\": \"\\u5927\\u5ba2\\u6237\\u5206\\u5e03\", \"x\": 0.5, \"xref\": \"paper\"}, \"width\": 1500},\n",
              "                        {\"responsive\": true}\n",
              "                    ).then(function(){\n",
              "                            \n",
              "var gd = document.getElementById('d61ac1c8-db86-4858-b260-a7f4dcdc8d97');\n",
              "var x = new MutationObserver(function (mutations, observer) {{\n",
              "        var display = window.getComputedStyle(gd).display;\n",
              "        if (!display || display === 'none') {{\n",
              "            console.log([gd, 'removed!']);\n",
              "            Plotly.purge(gd);\n",
              "            observer.disconnect();\n",
              "        }}\n",
              "}});\n",
              "\n",
              "// Listen for the removal of the full notebook cells\n",
              "var notebookContainer = gd.closest('#notebook-container');\n",
              "if (notebookContainer) {{\n",
              "    x.observe(notebookContainer, {childList: true});\n",
              "}}\n",
              "\n",
              "// Listen for the clearing of the current output cell\n",
              "var outputEl = gd.closest('.output');\n",
              "if (outputEl) {{\n",
              "    x.observe(outputEl, {childList: true});\n",
              "}}\n",
              "\n",
              "                        })\n",
              "                };\n",
              "                \n",
              "            </script>\n",
              "        </div>\n",
              "</body>\n",
              "</html>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "import plotly.graph_objects as go\n",
        "fig = go.Figure()\n",
        "fig.add_trace(\n",
        "go.Scattermapbox(mode='markers', \n",
        "                                 lon = customer_df['lon'],\n",
        "                                 lat = customer_df['lat'],\n",
        "                                 hovertext = customer_df['name'],\n",
        "                                 hoverinfo = 'text',\n",
        "                                 marker=go.scattermapbox.Marker(\n",
        "            size=customer_df['vol']*0.2\n",
        "        ),\n",
        "                                 )\n",
        ")\n",
        "\n",
        "fig.update_layout(    hovermode='closest',mapbox={'accesstoken':map_box_token,'center':{'lon':customer_df['lon'].values[0],'lat':customer_df['lat'].values[0]},'zoom':3.6},\n",
        "                 title={'text':'大客户分布','xref':'paper','x':0.5},autosize=False,\n",
        "    width=1500,\n",
        "    height=1000,\n",
        "\n",
        "    )\n",
        "fig.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 109,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Wood6qk-pdNp",
        "outputId": "8b38aaa3-6cfa-45c5-e7e4-47ea0c933af5"
      },
      "outputs": [
        {
          "name": "stderr",
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/scipy/optimize/_minimize.py:522: RuntimeWarning:\n",
            "\n",
            "Method Powell cannot handle constraints nor bounds.\n",
            "\n"
          ]
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
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            "[array([ 35.48713095, 106.80250032]), array([ 44.82896053, 125.52170518]), array([ 27.90367466, 102.49398467]), array([ 31.28357351, 118.25380479]), array([42.21005174, 83.37667287]), array([ 27.04799832, 110.72849935]), array([ 37.35395273, 115.25911522]), array([ 23.88904506, 114.14854291])]\n",
            "[array([ 35.48731472, 106.80280073]), array([ 44.82890818, 125.52166125]), array([ 27.90368988, 102.49403556]), array([ 31.28358445, 118.25381585]), array([42.21009598, 83.37672081]), array([ 27.04803318, 110.72856009]), array([ 37.35389739, 115.25903544]), array([ 23.88903404, 114.1485998 ])]\n"
          ]
        }
      ],
      "source": [
        "from scipy.optimize import minimize\n",
        "from sklearn.metrics.pairwise import haversine_distances\n",
        "from math import radians\n",
        "from geopy.geocoders import Nominatim\n",
        "geolocator = Nominatim(user_agent=\"Bing\")\n",
        "\n",
        "def geo_distance(p1: pd.Series,p2:list):\n",
        "    dis = haversine_distances([[radians(_) for _ in p1.values], [radians(_) for _ in p2]])[0][1]* 6371000/1000  # multiply by Earth radius to get kilometers\n",
        "    return dis\n",
        "\n",
        "\n",
        "def cost_func_multi_dc(dc_pos_list,customer_df):\n",
        "    dc_pos_list = [dc_pos_list[i:i+2] for i in range(0, len(dc_pos_list), 2)]\n",
        "    for i,dc_pos in enumerate(dc_pos_list):\n",
        "        customer_df[f'dis_{i}']=customer_df[['lat','lon']].apply(geo_distance,p2=dc_pos,axis=1)\n",
        "    customer_df['dis_min'] = customer_df[[f'dis_{i}' for i in range(len(dc_pos_list))]].min(axis=1)\n",
        "    \n",
        "    customer_df['cost'] = customer_df['dis_min'] * customer_df['vol']\n",
        "    cost_sum = customer_df['cost'].sum()\n",
        "    print(dc_pos_list)\n",
        "    return cost_sum\n",
        "Dc_Qt = 8\n",
        "bnds = [(20, 45), (60, 130)]*Dc_Qt\n",
        "#inits = customer_df.loc[customer_df.index[0],['lat','lon']].to_list()*Dc_Qt\n",
        "inits = [20,112]*Dc_Qt\n",
        "res = minimize(cost_func_multi_dc,inits , method='Powell',args=(customer_df),bounds=bnds)"
      ]
    },
    {
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      "execution_count": 110,
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        },
        "id": "4uATiPx6pwhV",
        "outputId": "b058a4be-33f8-4639-83ba-3a1833b969f9"
      },
      "outputs": [
        {
          "data": {
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              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>lat</th>\n",
              "      <th>lon</th>\n",
              "      <th>location</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>35.487223</td>\n",
              "      <td>106.802651</td>\n",
              "      <td>下甲, 崆峒区, 平凉市, 甘肃省, 中国</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>44.828934</td>\n",
              "      <td>125.521683</td>\n",
              "      <td>黄鱼圈乡, 长春市, 吉林省, 130000, 中国</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>27.903682</td>\n",
              "      <td>102.494010</td>\n",
              "      <td>西昌市, 凉山彝族自治州, 四川省, 615000, 中国</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>31.283579</td>\n",
              "      <td>118.253810</td>\n",
              "      <td>保定街道, 弋江区, 芜湖市, 安徽省, 中国</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>42.210074</td>\n",
              "      <td>83.376697</td>\n",
              "      <td>阿克苏地区, 温宿县, 新疆维吾尔自治区, 中国</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>5</th>\n",
              "      <td>27.048016</td>\n",
              "      <td>110.728530</td>\n",
              "      <td>洞口县, 邵阳市, 湖南省, 中国</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>6</th>\n",
              "      <td>37.353925</td>\n",
              "      <td>115.259075</td>\n",
              "      <td>南宫市, 邢台市, 河北省, 054000, 中国</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>7</th>\n",
              "      <td>23.889040</td>\n",
              "      <td>114.148571</td>\n",
              "      <td>X220, 龙门县, 惠州市, 广东省, 中国</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
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            ],
            "text/plain": [
              "         lat         lon                       location\n",
              "0  35.487223  106.802651          下甲, 崆峒区, 平凉市, 甘肃省, 中国\n",
              "1  44.828934  125.521683     黄鱼圈乡, 长春市, 吉林省, 130000, 中国\n",
              "2  27.903682  102.494010  西昌市, 凉山彝族自治州, 四川省, 615000, 中国\n",
              "3  31.283579  118.253810        保定街道, 弋江区, 芜湖市, 安徽省, 中国\n",
              "4  42.210074   83.376697       阿克苏地区, 温宿县, 新疆维吾尔自治区, 中国\n",
              "5  27.048016  110.728530              洞口县, 邵阳市, 湖南省, 中国\n",
              "6  37.353925  115.259075      南宫市, 邢台市, 河北省, 054000, 中国\n",
              "7  23.889040  114.148571        X220, 龙门县, 惠州市, 广东省, 中国"
            ]
          },
          "execution_count": 110,
          "metadata": {
            "tags": []
          },
          "output_type": "execute_result"
        }
      ],
      "source": [
        "import numpy as np\n",
        "dc_scipy_df = pd.DataFrame(np.reshape(res['x'],(Dc_Qt,2)),columns=['lat','lon'])\n",
        "\n",
        "from geopy.geocoders import Nominatim\n",
        "geolocator = Nominatim(user_agent=\"baiduv3\")\n",
        "def get_city(df):\n",
        "    df['location'] = geolocator.reverse(str(df['lat'])+\",\"+str(df['lon'])).address\n",
        "    return df\n",
        "dc_scipy_df = dc_scipy_df.apply(get_city, axis=1)\n",
        "dc_scipy_df"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 111,
      "metadata": {
        "id": "6610_k94u55j"
      },
      "outputs": [],
      "source": [
        "for i,dc_pos in enumerate(dc_scipy_df[['lat','lon']].values):\n",
        "    customer_df[f'dis_{i}']=customer_df[['lat','lon']].apply(geo_distance,p2=dc_pos,axis=1)\n",
        "customer_df['dis_min'] = customer_df[[f'dis_{i}' for i in range(Dc_Qt)]].min(axis=1)\n",
        "customer_df['dc'] = customer_df[[f'dis_{i}' for i in range(Dc_Qt)]].idxmin(axis=1)"
      ]
    },
    {
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      "execution_count": 112,
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        "id": "YF1j9KPuuLsT",
        "outputId": "2297bffb-7caf-420c-f64f-a3cb8f75337e"
      },
      "outputs": [
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              "                        {\"responsive\": true}\n",
              "                    ).then(function(){\n",
              "                            \n",
              "var gd = document.getElementById('fd36a358-96aa-4ef8-bef7-63792e47d4bd');\n",
              "var x = new MutationObserver(function (mutations, observer) {{\n",
              "        var display = window.getComputedStyle(gd).display;\n",
              "        if (!display || display === 'none') {{\n",
              "            console.log([gd, 'removed!']);\n",
              "            Plotly.purge(gd);\n",
              "            observer.disconnect();\n",
              "        }}\n",
              "}});\n",
              "\n",
              "// Listen for the removal of the full notebook cells\n",
              "var notebookContainer = gd.closest('#notebook-container');\n",
              "if (notebookContainer) {{\n",
              "    x.observe(notebookContainer, {childList: true});\n",
              "}}\n",
              "\n",
              "// Listen for the clearing of the current output cell\n",
              "var outputEl = gd.closest('.output');\n",
              "if (outputEl) {{\n",
              "    x.observe(outputEl, {childList: true});\n",
              "}}\n",
              "\n",
              "                        })\n",
              "                };\n",
              "                \n",
              "            </script>\n",
              "        </div>\n",
              "</body>\n",
              "</html>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "import plotly.graph_objects as go\n",
        "fig = go.Figure()\n",
        "fig.add_trace(\n",
        "go.Scattermapbox(mode='markers', \n",
        "                                 lon = customer_df['lon'],\n",
        "                                 lat = customer_df['lat'],\n",
        "                                 hovertext = customer_df['name'],\n",
        "                                 hoverinfo = 'text',\n",
        "                                 marker=go.scattermapbox.Marker(\n",
        "            size=customer_df['vol']*0.1,color = customer_df['dc'].astype('category').cat.codes\n",
        "        ),\n",
        "                                 )\n",
        ")\n",
        "fig.add_trace(go.Scattermapbox(mode='markers', \n",
        "                                 lon = dc_scipy_df['lon'],\n",
        "                                 lat = dc_scipy_df['lat'],\n",
        "                               hovertext = dc_scipy_df['location'],\n",
        "                                 hoverinfo = 'text',\n",
        "                                 marker=go.scattermapbox.Marker(\n",
        "            size=20,color='green',symbol='castle'\n",
        "        ),\n",
        "                                 ))\n",
        "fig.update_layout(    hovermode='closest',mapbox={'accesstoken':map_box_token,'center':{'lon':customer_df['lon'].values[0],'lat':customer_df['lat'].values[0]},'zoom':3.6},\n",
        "                 title={'text':'大客户分布','xref':'paper','x':0.5},autosize=False,\n",
        "    width=1500,\n",
        "    height=1000,\n",
        "\n",
        "    )\n",
        "fig.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 113,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "kunFYMEEwnfj",
        "outputId": "f133e00d-dc8c-4e99-ca2d-ebd8480a32e1"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "0.915"
            ]
          },
          "execution_count": 113,
          "metadata": {
            "tags": []
          },
          "output_type": "execute_result"
        }
      ],
      "source": [
        "customer_df['dc'].value_counts()\n",
        "distance_threshold = 600\n",
        "calc_service_level = (sum(customer_df['dis_min'] <=distance_threshold))/customer_df.shape[0]\n",
        "calc_service_level"
      ]
    }
  ],
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